© 2014 © The Author(s) 2014. Published by Oxford University Press. All rights reserved. We investigate the proportion of the nontrivial roots of the equation ζ(s)=a, which lie on the line Rs= 1/2 for a in C not equal to ...

We investigate neighbor-avoiding walks on the simple cubic lattice in the presence of an adsorbing surface. This class of lattice paths has been less studied using Monte Carlo simulations. Our investigation follows on from ...

We prove a vertex-isoperimetric inequality for [n]^(r), the set of all r-element subsets of {1,2,...,n}, where x,y \in [n]^(r) are adjacent if |x \Delta y|=2. Namely, if \mathcal{A} \subset [n]^(r) with |\mathcal{A}|=\alpha ...